Search a number
-
+
144244010134 = 27791312693701
BaseRepresentation
bin1000011001010110011…
…1001110110010010110
3111210022121112221011201
42012111213032302112
54330402431311014
6150133105423114
713264333566460
oct2062547166226
9453277487151
10144244010134
115619aa8a834
1223b5703aa9a
13107a9c098b3
146da513d130
153b435e5e74
hex21959cec96

144244010134 has 64 divisors (see below), whose sum is σ = 253323417600. Its totient is φ = 60328944000.

The previous prime is 144244010117. The next prime is 144244010189. The reversal of 144244010134 is 431010442441.

144244010134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38972484 + ... + 38976184.

It is an arithmetic number, because the mean of its divisors is an integer number (3958178400).

Almost surely, 2144244010134 is an apocalyptic number.

144244010134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

144244010134 is a deficient number, since it is larger than the sum of its proper divisors (109079407466).

144244010134 is a wasteful number, since it uses less digits than its factorization.

144244010134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4189.

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 144244010134 its reverse (431010442441), we get a palindrome (575254452575).

The spelling of 144244010134 in words is "one hundred forty-four billion, two hundred forty-four million, ten thousand, one hundred thirty-four".

Divisors: 1 2 7 14 79 131 158 262 269 538 553 917 1106 1834 1883 3701 3766 7402 10349 20698 21251 25907 35239 42502 51814 70478 72443 144886 148757 246673 292379 297514 484831 493346 584758 969662 995569 1991138 2046653 2783881 3393817 4093306 5567762 6787634 6968983 13937966 19487167 38301649 38974334 76603298 78649951 130419539 157299902 260839078 268111543 536223086 550549657 912936773 1101099314 1825873546 10303143581 20606287162 72122005067 144244010134